# scipy.special.chebyc#

scipy.special.chebyc(n, monic=False)[source]#

Chebyshev polynomial of the first kind on $$[-2, 2]$$.

Defined as $$C_n(x) = 2T_n(x/2)$$, where $$T_n$$ is the nth Chebychev polynomial of the first kind.

Parameters:
nint

Degree of the polynomial.

monicbool, optional

If True, scale the leading coefficient to be 1. Default is False.

Returns:
Corthopoly1d

Chebyshev polynomial of the first kind on $$[-2, 2]$$.

See also

chebyt

Chebyshev polynomial of the first kind.

Notes

The polynomials $$C_n(x)$$ are orthogonal over $$[-2, 2]$$ with weight function $$1/\sqrt{1 - (x/2)^2}$$.

References

[1]

Abramowitz and Stegun, “Handbook of Mathematical Functions” Section 22. National Bureau of Standards, 1972.